Title :
Optimal control of a class of hybrid systems
Author :
Cassandras, Christos G. ; Pepyne, David L. ; Wardi, Yorai
Author_Institution :
Dept. of Manuf. Eng., Boston Univ., MA, USA
fDate :
3/1/2001 12:00:00 AM
Abstract :
We present a modeling framework for hybrid systems intended to capture the interaction of event-driven and time-driven dynamics. This is motivated by the structure of many manufacturing environments where discrete entities (termed jobs) are processed through a network of workcenters so as to change their physical characteristics. Associated with each job is a temporal state subject to event-driven dynamics and a physical state subject to time-driven dynamics. Based on this framework, we formulate and analyze a class of optimal control problems for single-stage processes. First-order optimality conditions are derived and several properties of optimal state trajectories (sample paths) are identified which significantly simplify the task of obtaining explicit optimal control policies
Keywords :
discrete event systems; optimal control; discrete entities; event-driven dynamics; first-order optimality conditions; hybrid systems; jobs; manufacturing environments; optimal control; optimal state trajectories; physical state; single-stage processes; temporal state; time-driven dynamics; Contracts; Control system synthesis; Difference equations; Differential equations; Discrete event systems; Helium; Manufacturing processes; Optimal control; Optimization methods; Stochastic systems;
Journal_Title :
Automatic Control, IEEE Transactions on